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Finding the Fourth Proportional to 3,386, 4,674.60 and 2,556.56

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Solution

The fourth proportional to 3,386, 4,674.60 and 2,556.56 is: 3,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386 : 4,674.60 = 2,556.56 : x
  2. Step 2: Convert to fraction form
    3,386/4,674.60 = 2,556.56/x
  3. Step 3: Cross multiply
    3,386x = 4,674.60 × 2,556.56
  4. Step 4: Simplify right side
    3,386x = 11,950,895.38
  5. Step 5: Solve for x
    x = 11,950,895.38/3,386
  6. Step 6: Final answer
    x = 3,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.